Spectral Cauchy Characteristic Extraction: Gravitational Waves and Gauge Free News

ORAL

Abstract

We present a fast, accurate spectral algorithm for the characteristic evolution of the full non-linear vacuum Einstein field equations in the Bondi framework. Developed within the Spectral Einstein Code (SpEC), we demonstrate how spectral Cauchy characteristic extraction produces gravitational News without confounding gauge effects. We explain several numerical innovations and demonstrate speed, stability, accuracy, exponential convergence, and consistency with existing methods. We highlight its capability to deliver physical insights in the study of black hole binaries.

–

Authors

  • Casey Handmer

    California Institute of Technology

  • Bela Szilagyi

    Caltech, California Institute of Technology, Jet Propulsion Laboratory, California Institute of Technology, Caltech, JPL

  • Jeff Winicour

    University of Pittsburgh, University of Pittsburg